Answered: solve the following problems Assuming…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

solve the following problems

Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter test are
normally distributed with a mean of 50 and a standard deviation of 5. If the z-score of a student is 2,
find his raw score. The mean number of cupcakes sold at a booth in a week is 180 with a standard
deviation of 6. If the number of cupcakes sold over a week follows a normal distribution, determine
the probabilities that in a randomly selected week,

a. more than 186 cupcakes are sold.

b. Between 175 and 185 are sold

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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